Maximal norms on Banach spaces of continuous functions. A Corrigendum to Kalton and Woodʼs ‘Orthonormal systems in Banach spaces and their applications’ NJ Kalton and GV Wood.‘Orthonormal systems in Banach spaces and their applications’. Math. Proc. Camb. Phil. Soc. 79 (1976), 493–510.

摘要: The purpose of this short note is to reformulate theorem 9· 3 in [5] which is not correct as stated. We note that all other results in [5] are independent of that statement. The notation is the same as [5] with the sole exception that C0 (S) will always denote the space of all real-valued continuous functions on the locally compact space S vanishing at infinity. As usual, αS stands for the one-point compactification of S. Recall that a norm‖·‖ on a Banach space X is said to be maximal if there is no equivalent norm on X whose isometry group contains properly that of‖·‖.